K13n4234
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Polynomial invariants
| Jones polynomial | Data:K13n4234/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+25 t^2-44 t+53-44 t^{-1} +25 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4234/Conway Polynomial |
| Determinant | 209 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-6} -3 z^6 a^{-4} +4 z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-2} -10 z^4 a^{-4} +7 z^4 a^{-6} -2 z^4 a^{-8} +5 z^2 a^{-2} -10 z^2 a^{-4} +6 z^2 a^{-6} -z^2 a^{-8} +3 a^{-2} -3 a^{-4} + a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +3 z^{10} a^{-4} +12 z^{10} a^{-6} +9 z^{10} a^{-8} +z^9 a^{-3} +4 z^9 a^{-5} +20 z^9 a^{-7} +17 z^9 a^{-9} -5 z^8 a^{-4} -20 z^8 a^{-6} +3 z^8 a^{-8} +18 z^8 a^{-10} +3 z^7 a^{-3} -10 z^7 a^{-5} -48 z^7 a^{-7} -23 z^7 a^{-9} +12 z^7 a^{-11} +3 z^6 a^{-2} +12 z^6 a^{-4} +11 z^6 a^{-6} -29 z^6 a^{-8} -26 z^6 a^{-10} +5 z^6 a^{-12} -10 z^5 a^{-3} +3 z^5 a^{-5} +32 z^5 a^{-7} +5 z^5 a^{-9} -13 z^5 a^{-11} +z^5 a^{-13} -9 z^4 a^{-2} -25 z^4 a^{-4} -10 z^4 a^{-6} +19 z^4 a^{-8} +10 z^4 a^{-10} -3 z^4 a^{-12} +5 z^3 a^{-3} -2 z^3 a^{-5} -7 z^3 a^{-7} +3 z^3 a^{-9} +3 z^3 a^{-11} +9 z^2 a^{-2} +17 z^2 a^{-4} +6 z^2 a^{-6} -2 z^2 a^{-8} +z a^{-3} +z a^{-5} -z a^{-7} -z a^{-9} -3 a^{-2} -3 a^{-4} - a^{-6} }[/math] |
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